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Osculatory properties of a certain curve in [n]

Published online by Cambridge University Press:  24 October 2008

W. L. Edge
W. L. Edge
Affiliation:
University of Edinburgh
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Extract

1. When, as will be presumed henceforward, no two of a0, a1, …, an are equal the n + 1 equations

are linearly independent; x0, x1, …, xn are homogeneous coordinates in [n] projective space of n dimensions—and the simplex of reference S is self-polar for all the quadrics.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 75 , Issue 3 , May 1974 , pp. 331 - 344
Copyright
Copyright © Cambridge Philosophical Society 1974

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References

REFERENCES

(1)Baker, H. F.Principles of Geometry, Vol. 4 (Cambridge, 1925 and 1940).Google Scholar
(2)Bertini, E.Introduzione alla geometria proiettiva degli iperspazi (Messina, 1923).Google Scholar
(3)Edge, W. L.Humbert's plane sextics of genus 5. Proc. Cambridge Philos. Soc. 47 (1951), 483–495.CrossRefGoogle Scholar
(4)Edge, W. L.A new look at the Kummer Surface. Canad. J. Math. 19 (1967), 952–967.CrossRefGoogle Scholar
(5)Edge, W. L.Three plane sextics and their automorphisms. Canad. J. Math. 21 (1969), 1263–1278.CrossRefGoogle Scholar
(6)Edge, W. L.Thet acnodal form of Humbert's sextic Proc. Roy. Soc. Edinburgh, Sect. (A), 68 (1969), 257–269.Google Scholar
(7)Edge, W. L.Binary forms and pencils of quadrics. Proc. Cambridge Philos. Soc. 73 (1973), 417–429.Google Scholar
(8)Edge, W. L.The osculating spaces of a certain curve in [n] Proc. Edinburgh Math. Soc. (2) 19 (1974), 39–44.CrossRefGoogle Scholar
(9)Grace, J. H. and Young, A.Algebra of invariants (Cambridge, 1903).Google Scholar